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Limit cycles in planar Filippov system

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Author(s):
Raul Felipe Appis
Total Authors: 1
Document type: Master's Dissertation
Press: São José do Rio Preto. 2018-03-13.
Institution: Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto
Defense date:
Advisor: Luci Any Francisco Roberto
Abstract

In this work our main aim is to study the existence and stability of crossing limit cycles in planar linear systems of discontinuous Filippov obtained by the aggregation of two planar linear systems of focus type, and having only one equilibrium point is considered. By using an adequate normal form with five parameters, a thorough study of some Poincar´e maps is performed. Different bifurcations which are responsible for the appearance of crossing limit cycles are detected and open regions in the parameters space with none, one, two and three crossing limit cycles are found. (AU)

FAPESP's process: 15/24803-0 - Limit cycles in planar Filippov system
Grantee:Raul Felipe Appis
Support type: Scholarships in Brazil - Master